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Results tagged with integer-sequences
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user 76332
For questions about sequences of integers. References are often made to the online resource oeis.org.
1
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The growth of a sequence related to Liouville numbers
Not sure whether I understand correctly, but can you just take: $$v_n = \sqrt{n!}$$ (or the integer part of it)?
You will then have $v_{n+1}/v_{n}=O(\sqrt{n})$, which is still $O(n)$.
EDIT:
Now tha …
- 3,432
23
votes
Accepted
A finite alternating sum
I have obtained a formula for the generating function of your sequence.
Let $S_n$ be defined as in the quesion. We extend the definition to $n = 0$ by demanding $0^0 = 0$, hence $S_0 = 0$.
Consider …
- 3,432